28980117144 has 320 divisors, whose sum is σ = 90589466880. Its totient is φ = 8582112000.

The previous prime is 28980117121. The next prime is 28980117149. The reversal of 28980117144 is 44171108982.

It is a self number, because there is not a number n which added to its sum of digits gives 28980117144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28980117149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87553059 + ... + 87553389.

It is an arithmetic number, because the mean of its divisors is an integer number (283092084).

Almost surely, 2^28980117144 is an apocalyptic number.

28980117144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28980117144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45294733440).

28980117144 is an abundant number, since it is smaller than the sum of its proper divisors (61609349736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28980117144 is a wasteful number, since it uses less digits than its factorization.

28980117144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 28980117144 in words is "twenty-eight billion, nine hundred eighty million, one hundred seventeen thousand, one hundred forty-four".